Pieper HS Tournament This tournament completed November 13th, 2021.

Detailed breakdown of how Daniel's M-S-C-O tiebreaks were calculated. Tiebreaks are used to order players who finish with the same score, in the order M, then S, then C, then O. Byes have no opponent, so they are listed but not counted in the opponent-based tiebreaks.

M - Modified Mean [12.0]

The Modified Mean adds up the scores of every opponent Daniel Reahm has played, then discards one of them depending on how Daniel Reahm is doing.

Daniel's score (3.5 of 5.0 possible) is more than 50% of the possible points, so the lowest opponent score is discarded.

Round	Opponent	Opponent's Score	Counted?
1	Samuel Butler	3.0	Counted
2	Amelia Albart	1.5	Discarded
3	Gunner Wade	3.0	Counted
4	Liam Huang	2.5	Counted
5	Andrew Aalsma	3.5	Counted
Modified Mean		12.0

S - Solkoff [13.5]

The Solkoff is the combined score of every opponent Daniel Reahm has played, with nothing discarded. A higher Solkoff means Daniel Reahm faced tougher opposition.

Round	Opponent	Opponent's Score
1	Samuel Butler	3.0
2	Amelia Albart	1.5
3	Gunner Wade	3.0
4	Liam Huang	2.5
5	Andrew Aalsma	3.5
Solkoff		13.5

C - Cumulative [11.5]

The Cumulative tiebreak adds together Daniel's running score after each round. Early wins count more, because they carry forward into every later round's total.

Round	Result	Score After Round
1	0.5	0.5
2	1.0	1.5
3	1.0	2.5
4	1.0	3.5
5	0.0	3.5
Cumulative		11.5

O - Opponent's Cumulative [43.5]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Daniel Reahm has played.

Round	Opponent	Opponent's Cumulative
1	Samuel Butler	9.5
2	Amelia Albart	2.5
3	Gunner Wade	9.5
4	Liam Huang	10.5
5	Andrew Aalsma	11.5
Opponent's Cumulative		43.5